# Inversion of k-Plane Transforms and Applications in Computer Tomog

@article{Keinert1989InversionOK, title={Inversion of k-Plane Transforms and Applications in Computer Tomog}, author={F. Keinert}, journal={SIAM Review}, year={1989}, volume={31}, pages={273-298} }

The mathematics behind Computerized Tomography (CT) is based on the study of the parallel beam transform P and the divergent beam transform D. Both of these map a function f in $\mathbb{R}^n $ into a function defined on the set of all lines in $\mathbb{R}^n $, by integrating f along these lines.The parallel and divergent k-plane transforms are defined in a similar fashion by integration over k-planes (i.e., translates of k-dimensional subspaces) and are also denoted P and D, respectively. A… CONTINUE READING

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